Details

sample26.0ms

Algorithm

intervals

Results

18.0ms

351×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (41.0ms)

Iter	Nodes	Cost
0	27	6
1	63	6
2	154	5
3	323	5
4	426	5
5	528	5
6	604	5
7	832	5
8	1464	4
9	2035	4
10	2064	4
11	2064	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r/` `-commutative`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `fma-neg` `diff-log` `prod-diff` `flip--` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

8.0ms	(- (* (* x 3.0) x) (* x 4.0))
95.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series126.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* (* x 3.0) x) (* x 4.0))
31.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
25.0ms	(* (* x 3.0) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	306	404
1	1349	358
2	5001	342

prune136.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.1b	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

3.0ms	(- 3.0 (* 12.0 x))
0.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- 3.0 (* 12.0 x))
26.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	120	170
1	350	149
2	1768	148
3	5001	131

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(fma x (- (* 9.0 x) 12.0) 3.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `fma-udef`

Counts

2 → 28

Calls

2 calls:

3.0ms	(- (* 9.0 x) 12.0)
0.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

series70.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* 9.0 x) 12.0)
30.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	140	157
1	462	122
2	2558	119
3	5002	115

prune63.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)
0.8b	(* (sqrt 3.0) (* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`associate-r`
7×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

7.0ms	(- (* (* x 3.0) x) (* x 4.0))
95.0ms	(* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
6.0ms	(* (* x 3.0) x)
89.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* (* x 3.0) x) (* x 4.0))
54.0ms	(* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
30.0ms	(* (* x 3.0) x)
75.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	416	810
1	2038	683
2	5001	665

prune199.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample663.0ms

Algorithm

intervals

Results

544.0ms

10774×

body

valid